GMP density-mode dispersion on the Haldane sphere accurately describes primary Jain states at long wavelength after deriving the sphere version of the LLL density-operator algebra.
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CF exciton trial states accurately capture collective mode dispersions in spinful FQH states on the sphere at all wavelengths, while density-wave states miss high-energy parton modes in singlet cases at fillings like 2/5.
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Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
GMP density-mode dispersion on the Haldane sphere accurately describes primary Jain states at long wavelength after deriving the sphere version of the LLL density-operator algebra.
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Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
CF exciton trial states accurately capture collective mode dispersions in spinful FQH states on the sphere at all wavelengths, while density-wave states miss high-energy parton modes in singlet cases at fillings like 2/5.